Set Theory Operations and Cardinalities

The video tutorial explains the concept of cardinality using a Venn diagram. It covers the cardinality of set A, C complement, the intersection of sets A and C, the union of sets A and B, the union of sets A, B, and C, and the intersection of sets A, B, and C. Each section provides a detailed calculation of the number of elements in the respective sets, helping viewers understand how to determine cardinality in various set operations.

What is the cardinality of set A?

• 24

• 27

• 25

• 26

Which of the following represents the cardinality of C complement?

• 31

• 30

• 29

• 32

Which operation results in a set containing elements not in set C?

• Union

• Intersection

• Complement

• Difference

What is the result of adding the cardinalities of A and C complement?

• 60

• 59

• 58

• 57

How many elements are in the intersection of sets A and C?

• 16

• 14

• 18

• 12

What is the cardinality of the union of sets A and B?

• 42

• 40

• 43

• 41

Which set operation includes all elements from both sets A and B?

• Intersection

• Union

• Symmetric Difference

• Complement

How many elements are in the union of sets A, B, and C?

• 51

• 48

• 49

• 50

What is the cardinality of the intersection of sets A, B, and C?

• 4

• 1

• 2

• 3

What is the sum of the cardinalities of A union B and A intersect B intersect C?

• 44

• 45

• 46

• 47